1. Root-finding#
This chapter was last revised on August 18, 2025.
References:
Chapter 1, Solving Equations, of Sauer [Sau22].
Chapter 2, Solutions of Equations of One Variable, of Burden, Faires, and Burden [BFB16].
Chapter 2, Iterative Methods to Solve Nonlinear Equations, of Dionne [Dio23]
Chapter 3, Nonlinear Equations, of Chenney and Kincaid [CK13].
Chapter 6, Solving Scalar Nonlinear Equations, of Dahlquist and Björck [DBjorck08]
The package SciPy has some functions for this, described in the Scientific Python Lectures [Sci25] at https://docs.scipy.org/doc/scipy/reference/optimize.html#root-finding. Somewhat surprisingly, root-finding is treated there as a case of optimization.